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arXiv:hep-ph/9908320·v1·High Energy Physics — Phenomenology

Theory of the Magnetic Catalysis of Chiral Symmetry Breaking in QED

V. P. Gusynin🇺🇦 · V. A. Miransky🇺🇦 · I. A. Shovkovy🇺🇸

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Abstract

The theory of the magnetic catalysis of chiral symmetry breaking in QED is developed. An approximation for the Schwinger-Dyson equations describing reliably this phenomenon is established, i.e., it is shown that there exists a consistent truncation of those equations in this problem. The equations are solved both analytically and numerically, and the dynamical mass of fermions is determined.

Comments: 22 pages, 5 figures, REVTeX

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